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Finding the Fourth Proportional to 7,559.38, 10,431.30 and 4,201.12

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Solution

The fourth proportional to 7,559.38, 10,431.30 and 4,201.12 is: 5,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.38 : 10,431.30 = 4,201.12 : x
  2. Step 2: Convert to fraction form
    7,559.38/10,431.30 = 4,201.12/x
  3. Step 3: Cross multiply
    7,559.38x = 10,431.30 × 4,201.12
  4. Step 4: Simplify right side
    7,559.38x = 43,823,143.06
  5. Step 5: Solve for x
    x = 43,823,143.06/7,559.38
  6. Step 6: Final answer
    x = 5,797.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.